GCD of 794, 216, 999 Calculator

Given Input numbers are 794, 216, 999

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Greatest Common Divisior

We found the divisors of 794, 216, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 216, 999 is 1.

Therefore, GCD of numbers 794, 216, 999 is 1

Given Input Data is 794, 216, 999

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 794 is 2 x 397

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 999 is 3 x 3 x 3 x 37

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(794, 216) = 85752

GCD(794, 216) = ( 794 x 216 ) / 85752

GCD(794, 216) = 171504 / 85752

GCD(794, 216) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 999

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 999) = 1998

GCD(2, 999) = ( 2 x 999 ) / 1998

GCD(2, 999) = 1998 / 1998

GCD(2, 999) = 1

GCD of 794, 216, 999 is 1

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1. What is the GCD of 794, 216, 999?

GCD of 794, 216, 999 is 1

2. Where do I get the detailed procedure to find GCD of 794, 216, 999?

You can find a detailed procedure to find GCD of 794, 216, 999 on our page.

3. How to find GCD of 794, 216, 999 on a calculator?

You can find the GCD of 794, 216, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.